2. The following is the distribution of height of students of a certain class in a certain city:
2. The following is the distribution of height of students of a certain class in a certain city:

Find the median height.

Solution:

Here, we have N =

    \[420,\]

So

    \[,\text{ }N/2\text{ }=\text{ }420/\text{ }2\text{ }=\text{ }210\]

The cumulative frequency just greater than

    \[N/2\text{ }is\text{ }275\text{ }then\text{ }165.5\text{ }\text{ }168.5\]

is the median class such, that

L =

    \[165.5,\text{ }f\text{ }=\text{ }142,\text{ }F\text{ }=\text{ }133\text{ }and\text{ }h\text{ }=\text{ }\left( 168.5\text{ }\text{ }165.5 \right)\text{ }=\text{ }3\]

                                                                           

    \[\]

    \[=165.5+1.63\]

    \[=167.13\]